Mathematical Problems in Engineering / 2017 / Article / Tab 9

Research Article

The Modified Fourier-Ritz Approach for the Free Vibration of Functionally Graded Cylindrical, Conical, Spherical Panels and Shells of Revolution with General Boundary Condition

Table 9

First six frequency parameters Ω of the functionally graded cylindrical panels with different boundary conditions.

Mode numberBoundary condition
CCCCCSCSCFCFSFSFCE1CE1SE3SE3E1E1E1E1E2E2E2E2E3E3E3E3

122.78920.6199.5837.69719.72622.63016.56620.71522.590
227.80424.69610.3838.58020.25527.56818.12321.74627.534
336.43835.28618.13117.36331.35636.34518.52230.20836.213
437.57336.55020.54817.59632.09637.50719.67232.56937.387
541.14939.06221.82217.92534.20240.94926.91034.49740.931
646.16740.99722.10119.69337.73445.83229.46140.94045.731

122.64721.2209.5737.76919.57222.53716.54420.61022.479
227.58324.16510.3438.70220.23127.27517.99521.65927.227
336.29435.91418.09816.77331.00036.26118.52229.99736.119
437.44336.28820.34617.80131.95737.34219.66732.45837.208
540.97540.41021.80618.00634.16440.91726.92234.35540.901
645.92640.41622.06719.00137.79645.74929.43140.72645.637

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